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Finding the Fourth Proportional to 24,318, 33,558.84 and 13,140

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Solution

The fourth proportional to 24,318, 33,558.84 and 13,140 is: 18,133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,318 : 33,558.84 = 13,140 : x
  2. Step 2: Convert to fraction form
    24,318/33,558.84 = 13,140/x
  3. Step 3: Cross multiply
    24,318x = 33,558.84 × 13,140
  4. Step 4: Simplify right side
    24,318x = 440,963,157.60
  5. Step 5: Solve for x
    x = 440,963,157.60/24,318
  6. Step 6: Final answer
    x = 18,133.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.